Free Delivery Over $100
|
|
|||
|
||||
OverviewThis work deals with Einstein metrics and the Ricci flow on compact manifolds. We study the second variation of the Einstein-Hilbert functional on Einstein metrics. In the first part of the work, we find curvature conditions which ensure the stability of Einstein manifolds with respect to the Einstein-Hilbert functional, i.e. that the second variation of the Einstein-Hilbert functional at the metric is nonpositive in the direction of transverse-traceless tensors. The second part of the work is devoted to the study of the Ricci flow and how its behaviour close to Einstein metrics is influenced by the variational behaviour of the Einstein-Hilbert functional. We find conditions which imply that Einstein metrics are dynamically stable or unstable with respect to the Ricci flow and we express these conditions in terms of stability properties of the metric with respect to the Einstein-Hilbert functional and properties of the Laplacian spectrum. Full Product DetailsAuthor: Klaus KrönckePublisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG Imprint: Sudwestdeutscher Verlag Fur Hochschulschriften AG Dimensions: Width: 15.20cm , Height: 0.90cm , Length: 22.90cm Weight: 0.236kg ISBN: 9783838139081ISBN 10: 3838139089 Pages: 156 Publication Date: 29 July 2014 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
